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Lectures on Partial Differential Equations

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Cover of 'Lectures on Partial Differential Equations'

Table of Contents

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    Book Overview
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    Chapter 1 The General Theory for One First-Order Equation
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    Chapter 2 The General Theory for One First-Order Equation (Continued)
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    Chapter 3 Huygens’ Principle in the Theory of Wave Propagation
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    Chapter 4 The Vibrating String (d’Alembert’s Method)
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    Chapter 5 The Fourier Method (for the Vibrating String)
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    Chapter 6 The Theory of Oscillations. The Variational Principle
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    Chapter 7 The Theory of Oscillations. The Variational Principle (Continued)
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    Chapter 8 Properties of Harmonic Functions
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    Chapter 9 The Fundamental Solution for the Laplacian. Potentials
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    Chapter 10 The Double-Layer Potential
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    Chapter 11 Spherical Functions. Maxwell’s Theorem. The Removable Singularities Theorem
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    Chapter 12 Boundary-Value Problems for Laplace’s Equation. Theory of Linear Equations and Systems
Attention for Chapter 9: The Fundamental Solution for the Laplacian. Potentials
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